λ
Harmonic Matrix

5,389,241

11 × 133 × 223
Deficient Odd Composite

5,389,241 has digital root 5. The neighboring primes are 5389231 and 5389243; its proper-divisor sum differs from the starting integer by -4,381,042.

Prime Factor Structure

Factorization String 11 × 13^3 × 223
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,397,440
Proper Divisor Sum 1,008,199
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5389231 ← → #5389243

Radix Representation

Decimal 5389241
Binary 10100100011101110111001 (23 bits)
Octal 0o24435671
Hexadecimal 0x523BB9

Divisor Catalog (16)

1 11 13 143 169 223 1,859 2,197 2,453 2,899 24,167 31,889 37,687 414,557 489,931 5,389,241

Collatz Trajectory (95 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,389,241 16,167,724 8,083,862 4,041,931 12,125,794 6,062,897 18,188,692 9,094,346 4,547,173 13,641,520 6,820,760 3,410,380 1,705,190 852,595 2,557,786 1,278,893 3,836,680 1,918,340 959,170 479,585 1,438,756 719,378 359,689 1,079,068 539,534 269,767 809,302 404,651 1,213,954 606,977 1,820,932 910,466 455,233 1,365,700 682,850 341,425 1,024,276 512,138 256,069 768,208 384,104 192,052 96,026 48,013 144,040 72,020 36,010 18,005 54,016 27,008 13,504 6,752 3,376 1,688 844 422 211 634 317 952

More profiles

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